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Acta Optica Sinica, Volume. 38, Issue 12, 1214001(2018)

A Fast Calculation Method of Single Spectral Absorption Integral Absorbance and Its Application

Yibing Lu1,2、*, Wenqing Liu1, Yujun Zhang1、*, Kai Zhang1,2, and Dongqi Yu1,2
Author Affiliations
  • 1 Key Laboratory of Environmental Optics and Technology, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China
  • 2 University of Science and Technology of China, Hefei, Anhui 230031, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (8)
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    Figures & Tables(8)
    Flow chart of TDLAS concentration inversion algorithm

    Fig. 1. Flow chart of TDLAS concentration inversion algorithm

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    Schematic of triangular function

    Fig. 2. Schematic of triangular function

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    Flow chart of L-M algorithm

    Fig. 3. Flow chart of L-M algorithm

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    Fitted absorbance curves of CO with different volume fractions. (a) 8×10-6; (b) 16×10-6; (c) 24×10-6; (d) 48×10-6

    Fig. 4. Fitted absorbance curves of CO with different volume fractions. (a) 8×10-6; (b) 16×10-6; (c) 24×10-6; (d) 48×10-6

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    Normalized residual comparison using two fitting methods

    Fig. 5. Normalized residual comparison using two fitting methods

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    Normalized residual of absorption spectrum of CO with volume fraction of 8×10-6 using two different methods

    Fig. 6. Normalized residual of absorption spectrum of CO with volume fraction of 8×10-6 using two different methods

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    Time consuming of two fitting methods

    Fig. 7. Time consuming of two fitting methods

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    • Table 1. Concentration inversion results using two different fitting methods

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      Table 1. Concentration inversion results using two different fitting methods

      Actual volume fraction/10-6Inversion volume fraction/10-6Absolute error/10-6Relative error /%
      Gauss-HermiteTRIGauss-HermiteTRIGauss-HermiteTRI
      21.94781.9434-0.0522-0.0566-2.61-2.83
      43.91863.9116-0.0814-0.0884-2.04-2.21
      88.13768.14880.13760.14881.721.86
      1616.180816.19360.18080.19361.131.21
      2424.232824.24960.23280.24960.971.04
      4847.572847.544-0.4272-0.456-0.89-0.95
      6464.537664.56320.53760.56320.840.88
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    Yibing Lu, Wenqing Liu, Yujun Zhang, Kai Zhang, Dongqi Yu. A Fast Calculation Method of Single Spectral Absorption Integral Absorbance and Its Application[J]. Acta Optica Sinica, 2018, 38(12): 1214001

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    Paper Information

    Category: Lasers and Laser Optics

    Received: May. 24, 2018

    Accepted: Jul. 3, 2018

    Published Online: May. 10, 2019

    The Author Email:

    DOI:10.3788/AOS201838.1214001

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology